Relative projectivity, the radical and complete reducibility in modular group algebras
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- by D. C. Khatri PDF
- Trans. Amer. Math. Soc. 186 (1973), 51-63 Request permission
Abstract:
If $H \leq G$ and every G-module is H-projective then (G, H) is a projective pairing. If Rad $FG \subseteq ({\text {Rad}}\;FH)FG$ then (G, H) is said to have property p. A third property considered is that for each irreducible H-module the induced G-module be completely reducible. It is shown that these three are equivalent properties in many interesting cases. Also examples are given to show that they are, in general, independent of each other.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 186 (1973), 51-63
- MSC: Primary 20C05
- DOI: https://doi.org/10.1090/S0002-9947-1973-0327880-0
- MathSciNet review: 0327880